The ratio of the length of a rod and its shadow is 1: √3. The angle of elevation of the sun is _____?
- 90°
- 30°
- 45°
- None of these
Explanation
The ratio of the length of the rod to its shadow is 1:√3.
This ratio is equal to the tangent of the angle of elevation of the sun (tan(θ) = opposite/adjacent).
So, we can set up the equation: tan(θ) = 1/√3
To find the angle θ, we take the inverse tangent (arctangent) of both sides: θ = arctan(1/√3)
Using a calculator or trigonometric tables, we find that θ = 30°
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